Linear codes over 𝔽4R and their MacWilliams identity

DOI10.1142/S1793830920500858zbMath1483.94063OpenAlexW3038331066MaRDI QIDQ5859495

Martianus Frederic Ezerman, N. Benbelkacem, Taher Abualrub

Publication date: 16 April 2021

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830920500858

zbMATH Keywords

MacWilliams identitydual codegenerator matrixcode over ringmixed alphabets

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Polynomials over finite fields (11T06)

Related Items (1)

\(\mathbb{Z}_4\mathbb{Z}_4 [u\)-additive cyclic and constacyclic codes]

Uses Software

• Code Tables

Cites Work

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• Codes over \(\mathbb F_{4}+v\mathbb F_4\) and some DNA applications
• Construction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)
• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• On ℤ₂ℤ₂[u-additive codes]

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